Geodesic
A Berry--Esseen type estimations for multi-sample $U$-statistics
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 9, Tome 328 (2005), pp. 69-90

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The rate of convergence in the central limit theorem for nondegenerate multi-sample $U$-statistics of series of independent samples of independent random variables is investigated under minimal sufficient moment conditions on canonical functions of Hoeffding representation. 
@article{ZNSL_2005_328_a4,
     author = {L. V. Gadasina},
     title = {A {Berry--Esseen} type estimations for multi-sample $U$-statistics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--90},
     publisher = {mathdoc},
     volume = {328},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_328_a4/}
}
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L. V. Gadasina. A Berry--Esseen type estimations for multi-sample $U$-statistics. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 9, Tome 328 (2005), pp. 69-90. http://geodesic.mathdoc.fr/item/ZNSL_2005_328_a4/